| Lecture 2 Linear Algebra - Alaa Eldin Tamer Linear Algebra Lecture 2 Dr. Ashraf Khattab Keywords: Linear Algebra Downloads: 185 | |

| ASU-CHEP Lecture 1 Linear Algebra - Alaa Eldin Tamer Lecture 1 Linear Algebra by Dr. Ashraf Khattab Keywords: Linear Algebra Downloads: 153 | |

| Matrices - Shmuel Friedland Contents: Domains, Modules and Matrices; Canonical Forms for Similarity; Functions of Matrices and Analytic Similarity; Inner product spaces; Elements of Multilinear Algebra; Nonnegative matrices; Convexity. Lecture Notes Collection FreeScience.info ID2497 Obtained from http://homepages.math.uic.edu/~friedlan/bookm.pdf http://www.freescience.info/go.php?pagename=books&id=2497 Keywords: Linear Algebra Downloads: 111 | |

| Matrix Analysis, - Steven J Cox Contents: Matrix Methods for Electrical Systems; Matrix Methods for Mechanical Systems: The Column and Null Spaces; The Fundamental Theorem of Linear Algebra; Least Squares; Matrix Methods for Dynamical Systems; Complex Numbers and Functions; Complex Integration; The Eigenvalue Problem: The Spectral Representation of a Symmetric Matrix; The Singular Value Decomposition: Reduced Dynamical Systems. Lecture Notes Collection FreeScience.info ID2621 Obtained from http://www.caam.rice.edu/~cox/main.pd... Keywords: Linear Algebra Downloads: 131 | |

| The Matrix Cookbook - K B Petersen and M S Peders These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone who wants a quick desktop reference . Lecture Notes Collection FreeScience.info ID767 Obtained from http://orion.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf http://www.freescience.info/go.php?pagename=books&id=767 Keywords: Linear Algebra Downloads: 180 | |

| NOTE DI CALCOLO MATRICIALE - Giuseppe De Cecco and Raff aele Vitolo Contents: Le matrici; Funzioni matriciali; La forma canonica di Jordan La geometria per la graca al computer; I sistemi lineari; La ricerca degli autovalori; Decomposizione ai valori singolari ed applicazioni; Matrici polinomiali; Esperimenti numerici con octave. Lecture Notes Collection FreeScience.info ID2430 Obtained from http://poincare.unile.it/vitolo/vitolo_files/didattica/calcmat/matrix.pdf http://www.freescience.info/go.php?pagename=books&id=2430 Keywords: Linear Algebra Downloads: 138 | |

| Lecture 6 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 6 by Dr. Ashraf Khattab Keywords: ASU; Linear Algebra Downloads: 174 | |

| Lecture 4 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 4 Keywords: ASU; Linear Algebra Downloads: 182 | |

| Lecture 3 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 3 by Dr. Ashraf Khattab Keywords: linear algebra; ASU Downloads: 176 | |

| Lecture 13 Linear Algebra - Alaa Eldin Tamer Linear Algebr alast lecture Keywords: ASU; Linear Algebra Downloads: 48 | |

| Lecture 10 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 10 Keywords: ASU; Linear Algebra Downloads: 175 | |

| Linear Algebra Lecture 12 - Alaa Eldin Tamer Lecture 12 Linear Algebra Keywords: Linear Algebra; ASU Downloads: 126 | |

| Linear Algebra Lecture 11 - Alaa Eldin Tamer Lecture 11 Linear Algebra Keywords: ASU; Linear Algebra Downloads: 115 | |

| Lecture 7 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 7 Keywords: ASU; Linear Algebra Downloads: 192 | |

| Lecture 8 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 8 Keywords: ASU; Linear Algebra Downloads: 184 | |

| Lecture 9 Linear Algebra - Alaa Eldin Tamer Linear Algebra lecture 9 Keywords: ASU; Linear Algebra Downloads: 196 | |

| Lecture 5 Linear Algebra - Alaa Eldin Tamer Lecture 5 Linear Algebra Keywords: linear algebra; ASU Downloads: 173 | |

| Matrix Problems - Chris Thiel Chapter 12 of the Precalculus text and Chapter 12 of the Honors Algebra 2 Trig text deal with matrices. Here we go over some of the applications of the wonderful world of the matrix. After some calculus, you may enjoy taking a course in Linear Algebra! Keywords: matrix; linear algebra Downloads: 704 | |

| On EPr and normal Epr matrices (Volume 70B) - Katz, Irving Jack Journal of Research of the National Bureau of Standards Keywords: Matrix; normal; linear algebra Downloads: 91 | |

| Linear Algebra - Communications Intensive - Abstract Root Systems - Matthew Herman We can now define an abstract root system in a Eucledian space. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 14 | |

| Linear Algebra - Communications Intensive - Simple and Positive Roots - Juha Valkama Let V be a Euclidean space, i.e. a real �nite dimensional linear space with a symmetric positive de�nite inner product _,_. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 11 | |

| Linear Algebra - Communications Intensive - Cartan Matrices, Dynkin Diagrams and Classification - Andrew Brooke-Taylor We shall associate a �Cartan matrix� to the system _ _ _ and derive some properties of this matrix. An abstract Cartan matrix will be any square matrix with this list of properties. It turns out that an abstract Cartan matrix essentially determines the root system. In this paper we will work toward making this statement precise and proving it. The problem of classi�cation of root systems is reduced then to the classi�cation of the Cartan matrices. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 13 | |

| Linear Algebra - Communications Intensive - Properties of Simple Roots - Eric Broder Let V be a Euclidean space, that is a �nite dimensional real linear space with a symmetric positive de�nite inner product _,_. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 12 | |

| Linear Algebra - Communications Intensive - Reflections in a Euclidean Space - Philip Brocoum Now we are ready to introduce the notion of a re�ection in a Eu_clidean space. A re�ection in V is a linear mapping s : V_ V which sends some nonzero vector _ _ V to its negative and �xes pointwise the hyperplane H_ orthogonal to _. To indicate this vector, we will write s = s_. The use of Greek letters for vectors is traditional in this context. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 13 | |

| Linear Algebra - Communications Intensive - The Cartan Matrix of a Root System - Thomas R. Covert Because any enumeration of a set of simple roots is related to any other enumeration by some �nite number of permutations, the relationship between any two Cartan matrices for a root system is an isomorphism by the conjugate product of permutation matrices. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 17 | |

| Computational Science and Engineering I- Fourier Series and Integrals - Gilbert Strang This section explains three Fourier series: sines, cosines, and exponentials e^(ikx) . Square waves (1 or 0 or _1) are great examples, with delta functions in the derivative. We look at a spike, a step function, and a ramp�and smoother functions too. Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 38 | |

| Computational Science and Engineering I- Linear Algebra in a Nutshell - Gilbert Strang This summary begins with two lists that use most of the key words of linear algebra. The �rst list applies to invertible matrices. That property is described in 14 di_erent ways. The second list shows the contrast, when A is singular (not invertible). Keywords: Maths; Linear Algebra and Geometry; Linear Algebra; Mathematics Downloads: 70 | |

| On spaces and maps of generalized inverses (Volume 72B) - Hearon, John Z. Journal of Research of the National Bureau of Standards Keywords: Generalized inverse; linear algebra; matrix Downloads: 48 | |

| Course 0: Math for Computer Science (ArsDigita University) A basic introduction to the Calculus and Linear Algebra. The goal is to make students mathematically literate in preparation for studying a scientific/engineering discipline. The first week covers differential calculus: graphing functions, limits, derivatives, and applying differentiation to real-world problems, such as maximization and rates of change. The second week covers integral calculus: sums, integration, areas under curves and computing volumes... Keywords: ars digita; calculus; linear algebra Downloads: 2,724 |

| Seminar in Geometry- Chapter 17- Complete Minimal Surfaces - Emma Carberry In order to study regular surfaces globally, we need some global hypothesis to ensure that the surface cannot be extended further as a regular surface. Compactness serves this purpose, but it would be useful to have a weaker hypothesis than compctness which could still have the same e_ect. Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 7 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 5 - Denis Auroux 1. Gromov-Witten Invariants Recall that if (X, _) is a symplectic manifold Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 10 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 13 - Denis Auroux 0.1. Lagrangian Floer Homology (contd). Let (M, _) be a symplectic man_ifold, L0, L1 compact Lagrangian submanifolds intersecting transversely. Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 9 | |

| Topics in Geometry- Dirac Geometry- Lecture 3- Almost Complex Structure, Hermitian Structure, Integrability of J, Forms on a Complex Manifold, and Dolbeault Cohomology. - J. Bernstein
Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 14 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 10 - Denis Auroux 1. The Quintic (contd.) Recall that we had a quintic mirror family... Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 11 | |

| Topics in Geometry- Dirac Geometry- Lecture 21-23- Linear Algebra, and T-Duality. - K. Venkatram
Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 7 | |

| Problema 6 - Juan Mendez Traduccion Keywords: Traduccion; A first course in linear algebra Downloads: 21 | |

| Topics in Geometry- Dirac Geometry- Lecture 7- Exact Courant Algebroids, and Severa's Classification of Exact Courant Algebroids. - N. Rosenblyum
Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 12 | |

| Problema 3 - Juan Mendez Traduccion Keywords: Traduccion; A first course in linear algebra Downloads: 29 | |

| Problema C42 - Maria Alejandra Perez El problema consiste en solucionar un sistema lieneal de ecuaciones. Keywords: A first course in linear algebra Downloads: 20 | |

| Problema 2 - Juan Mendez Traduccion del problema T2O del libro - A first course in linear algebra - Keywords: Traduccion; A first course in linear algebra Downloads: 25 | |

| Voice Recording - Jason Lachniet Gaussian elimination example Keywords: precalculus; linear algebra; augmented matrix; Gaussian elimination Downloads: 266 |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 21 - Denis Auroux 1. SYZ Conjecture (cntd.) - Question: how does one build a mirror X�of a given Calabi-Yau X? Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 15 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 18 - Denis Auroux 1. Derived Fukaya Category - Last time: derived categories for abelian categories (e.g. DbCoh(X)). This time: the derived Fukaya category. Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 10 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 25 - Denis Auroux Last time, we were considering CP1 mirror to ... for ... the latter object is a Landau-Ginzburg model, i.e. a K�hler manifold with a holomorphic function called the �superpotential�. Homological mirror symmetry gave... Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 9 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 11 - Denis Auroux 0.1. Lagrangian Floer Homology (contd). Let (M, _) be a symplectic man_ifold, L0, L1 compact Lagrangian submanifolds. Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 11 | |

| Problema 4 - Juan Mendez traduccion Keywords: Traduccion; A first course in linear algebra Downloads: 34 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 17 - Denis Auroux 1. Coherent Sheaves on a Complex Manifold (contd.) - We now recall the following de�nitions from category theory. De�nition 1. An additive category is one in which Hom(A, B) are abelian groups, composition is distributive, and... Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 12 | |

| Topics in Geometry- Dirac Geometry- Lecture 1- Smooth Manifolds, Geometry of Foliations, and Symplectic Structure. - K. Venkatram
Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 12 | |

| Topics in Geometry- Mirror Symmetry- Mirror Symmetry- Lecture 3 - Denis Auroux Last time, we say that a deformation of (X, J) is given by... Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 10 | |

| Topics in Geometry- Dirac Geometry- Lecture 5- Spinors, the Spin Group, a Bilinear Pairing on Spinors, and Pure Spinors. - C. Kottke
Keywords: Maths; Linear Algebra and Geometry; Geometry; Mathematics Downloads: 14 | |